Pith Number

pith:QVSOM3BG

pith:2010:QVSOM3BGYU4JAXW6EKMP45SZMM

not attested not anchored not stored refs pending

Unidirectional Nonlinear PT-symmetric Optical Structures

2), Demetrios N. Christodoulides (3) ((1) Department of Physics, Hamidreza Ramezani (1), Photonics-CREOL, Ramy El-Ganainy (3), Self-Organization (3) College of Optics, Tsampikos Kottos (1, University of Central Florida), Wesleyan University (2) Max-Planck-Institute for Dynamics

arxiv:1005.5189 v2 · 2010-05-27 · physics.optics

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVSOM3BGYU4JAXW6EKMP45SZMM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:39:19.475566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8564e66c26c538905ede2298fe76596309c91d024352c688d446222bcc4876cf

Aliases

arxiv: 1005.5189 · arxiv_version: 1005.5189v2 · doi: 10.48550/arxiv.1005.5189 · pith_short_12: QVSOM3BGYU4J · pith_short_16: QVSOM3BGYU4JAXW6 · pith_short_8: QVSOM3BG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QVSOM3BGYU4JAXW6EKMP45SZMM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8564e66c26c538905ede2298fe76596309c91d024352c688d446222bcc4876cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22d1cc14a5556c12622ccc4572ca45c25b4caf6e299a513297f1332403ff29b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-05-27T22:45:24Z",
    "title_canon_sha256": "640d927d798c25d94f665da08bedf32c8b2ab1cf5ce100e6fb0a78970ff74dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5189",
    "kind": "arxiv",
    "version": 2
  }
}